\[Y_i \sim Poisson(\mu_i)\]
\[log\frac{Y_i}{pop_i} = \alpha_0 + \beta_1 NightTempT2_i + \beta_2 NightTempT3_i + \beta_3 ElevationT2_i + \beta_4 ElevationT3_i + \beta_5 EverGreenT2_i + \beta_6 EverGreenT3_i + \beta_7 WaterwayT2_i + \beta_8 WaterwayT3_i + \beta_9 WealthT2_i + \beta_10 WealthT3_i + \beta_11 DrinkingWaterT2_i + \beta_12 DrinkingWaterT3_i + \beta_11 DrinkingWaterT2_i + \beta_12 DrinkingWaterT3_i + beta_13 MeanTotalRainfall_i + u_i + \nu_i\]
\[u_i \sim N(0, 1000)\]
\[\nu_i | \tau, \nu_j, i \neq j \sim N( \frac{1}{n_i} \sum_{} x_j, \frac{1}{n_i\tau} )\]